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Finding the Third Proportional to 210,540 and 323,620

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Solution

The third proportional to 210,540 and 323,620 is: 497,434.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,540 : 323,620 = 323,620 : x
  2. Step 2: Convert to fraction form
    210,540/323,620 = 323,620/x
  3. Step 3: Cross multiply
    210,540x = 323,620 × 323,620
  4. Step 4: Simplify right side
    210,540x = 104,729,904,400
  5. Step 5: Solve for x
    x = 104,729,904,400/210,540
  6. Step 6: Final answer
    x = 497,434.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.